math ch14: exponential and logarithmic functions:

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Last updated 1:26 PM on 12/30/25
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26 Terms

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form of the exponential function:

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if a>0 and b>1, the function represents

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if a>0 and 0<b<1, the function represents

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y intercept is

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if a=1, y=——- and y intercept is

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domain of an exp function is

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range of exp function is

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the horizontal asymptote is

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for the exponential inequality b^x > b^y: if b>1:

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for the exponential inequality b^x > b^y: if 0<b<1:

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base b of a positive number x satisfies the following definition is

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log 10x= log x only if b=

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the logarithmic function with base b, logbX=y is the inverse of

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the exponential and logarithmic graphs are

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for exponential growth functions and their log inverse: b is

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for exponential decay functions and their logarithmic inverse: b is

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for x intercept (1,0): vertical asymptote=

domain=

range=

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standard form of logarithmic equation:

domain:

x-int=

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product property of logbXY=

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quotient property of log function: logb X/Y=

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power property of log function logbX^p=

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logb1=

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logbB=

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logbB^x=

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for the logartihmic inequality logbX>logbY:

b>1:

0<b<1:

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for the log equation logbX=logbY

b>0,b=/1:

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